Question

Two less than the quotient of a number and 8 is 1/4.Find the number

Answer 1

For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

`(x)/(8)-2=(1)/(4)`

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

`\begin{gathered} 8\cdot((x)/(8)-2)=8\cdot(1)/(4) \\ \\ 8\cdot(x)/(8)-8\cdot2=(8)/(4) \\ x-16=2 \end{gathered}`

Add (6) to both sides:

`\begin{gathered} x-16+16=2+16 \\ x=18 \end{gathered}`

So, the answer will be the number is 18